Self-Adjoint Extension of Symmetric Maps
Functional Analysis
2011-02-10 v1
Abstract
A densely-defined symmetric linear map from/to a real Hilbert space extends to a self-adjoint map. Extension is expressed via Riesz representation. For a case including Friedrichs extension of a strongly monotone map, self-adjoint extension is unique, and equals closure of the given map.
Cite
@article{arxiv.1102.1739,
title = {Self-Adjoint Extension of Symmetric Maps},
author = {H. N. Friedel},
journal= {arXiv preprint arXiv:1102.1739},
year = {2011}
}
Comments
3 pages